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Finding the Fourth Proportional to 2,813.00, 4,219.43 and 1,252.60

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Solution

The fourth proportional to 2,813.00, 4,219.43 and 1,252.60 is: 1,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.00 : 4,219.43 = 1,252.60 : x
  2. Step 2: Convert to fraction form
    2,813.00/4,219.43 = 1,252.60/x
  3. Step 3: Cross multiply
    2,813.00x = 4,219.43 × 1,252.60
  4. Step 4: Simplify right side
    2,813.00x = 5,285,241.21
  5. Step 5: Solve for x
    x = 5,285,241.21/2,813.00
  6. Step 6: Final answer
    x = 1,878.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.